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Erdős·erdos:650

Erdős Problem 650

problem formal record: solved source: solved (Lean)no F2 declared

No independent check recorded yet. A formal artifact, declaration or published object is attached, but no rebuild of it is recorded here.

Fidelity F2: The statement corpus cites this proof against its own statement.

number theory·Source

AI activity

How grades work
GPT-5.4 Pro

2026-03-07

Full solution (stronger than literature)

full A3 autonomous V1 write-up F2 declared
Reasoning and sources

Autonomy

AI standalone, with comparable literature existing

Details

literature: 🟢 Erdős and Selfridge (1978)

literature found on: 7 Mar, 2026

similar?: No

ChatGPT Deep research

2026-03-06·supporting task

Full solution found

full A1 collaborative V1 write-up F2 declared
Reasoning and sources

Autonomy

Secondary contribution: literature search

Aristotle

2026-03-08·supporting task

He, Li and Tang (2026)

full A1 collaborative V1 write-up F2 declared
Reasoning and sources

Autonomy

Secondary contribution: formalization

Details

proof to formalize: He, Li and Tang (2026)

AlphaEvolve

2026-03-07·supporting task

unstated A1 collaborative V0 claimed F2 declared
Reasoning and sources

Autonomy

Secondary contribution: computation

Details

computation: Numerical optimization

Does the formal statement say what was claimed?

F2 declared The statement corpus cites this proof against its own statement.

Computed from what the project declares and what the register holds, never from reading the mathematics. How fidelity is graded.

Follow and discuss

All discussion

Discussion and bounties for this problem load here.

Formal material

Formal statements · 1
Cited proofs · 1

Recorded elsewhere

Compare the registries
  • vibemathed — Erdős Problem #650

    checked·machine-led·their labels: lean-verified, ai-discovered

Also known as · 3
  • https://www.erdosproblems.com/650
  • https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/650.lean
  • FormalConjectures/ErdosProblems/650.lean